GCD of 970, 107, 25, 784 Calculator

Given Input numbers are 970, 107, 25, 784

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 970, 107, 25, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 107, 25, 784 is 1.

Therefore, GCD of numbers 970, 107, 25, 784 is 1

Given Input Data is 970, 107, 25, 784

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 107 is 107

Prime Factorization of 25 is 5 x 5

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(970, 107) = 103790

GCD(970, 107) = ( 970 x 107 ) / 103790

GCD(970, 107) = 103790 / 103790

GCD(970, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 970, 107, 25, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 958, 63, 360
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• GCD of 572, 491, 43, 868

1. What is the GCD of 970, 107, 25, 784?

GCD of 970, 107, 25, 784 is 1

2. Where do I get the detailed procedure to find GCD of 970, 107, 25, 784?

You can find a detailed procedure to find GCD of 970, 107, 25, 784 on our page.

3. How to find GCD of 970, 107, 25, 784 on a calculator?

You can find the GCD of 970, 107, 25, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.